Question

Convert the following as instructed: 869 days into months and days.

Answer 1

Hint: To convert 869 days into months and days, divide 869 by 30. Upon division, the quotient represents the number of months and the remainder represents the remaining number of days. We divide the number of days by 30 as \[1month=30days\].

Complete step-by-step solution -

We have to convert 869 days into months and days. Days and months represent units of measuring time. There are other units of measuring time, such as, hours, minutes, seconds and years.
We know that \[1month=30days\]. To convert days into months, we will divide the number of days by 30. The quotient received upon division is the number of months and the remainder received upon division is the remaining number of days.
We will now divide 869 by 30. We observe that 30 can’t completely divide 869. So, we write it in terms of fraction or represent it as days and months. We can’t write months in terms of decimals.
On dividing 869 by 30, we have \[869=30\times 28+29\]. We observe that 30 can’t completely divide 869. So, we write it in terms of fraction or represent it as days and months. We can’t write months in terms of decimals.
We observe that the quotient is 28 and remainder is 29.
Thus, there are 28 months and 29 days in 869 days.
Hence, 869 days is converted to 28 months and 29 days.

Note: To convert from one unit of time to another one, we must multiply or divide by the time factor relating the two units. To convert from a larger unit to a smaller one, we will multiply the larger unit by the time factor relating the two units. To convert from a smaller unit to a larger one, we will divide the smaller unit by the time factor relating the two units.